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Finding the Fourth Proportional to 155.04, 232.14 and 142.80

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Solution

The fourth proportional to 155.04, 232.14 and 142.80 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 232.14 = 142.80 : x
  2. Step 2: Convert to fraction form
    155.04/232.14 = 142.80/x
  3. Step 3: Cross multiply
    155.04x = 232.14 × 142.80
  4. Step 4: Simplify right side
    155.04x = 33,149.59
  5. Step 5: Solve for x
    x = 33,149.59/155.04
  6. Step 6: Final answer
    x = 213.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.